GRADE 4 SUPPLEMENT - Homesteadcommoncore2012.homestead.com/Grade_Level_Files/Fourth/...4 mile...

GRADE 4 SUPPLEMENTSet A9 Number & Operations: Adding & Subtracting Fractions

IncludesIndependent Worksheet 1: Fractions through the School Day A9.1

Independent Worksheet 2: Fractions on the Trail A9.5

Independent Worksheet 3: Adding & Subtracting Fractions A9.9

Skills & ConceptsH use fraction models to represent the addition and subtraction of fractions with like denominators

H solve problems involving the addition and subtraction of fractions with like denominators

H convert improper fractions to mixed numbers

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Bridges in Mathematics Grade 4 Supplement

Set A9 Numbers & Operations: Adding & Subtracting Fractions

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Bridges in Mathematics is a standards-based K–5 curriculum that provides a unique blend

of concept development and skills practice in the context of problem solving. It incorpo-

rates the Number Corner, a collection of daily skill-building activities for students.

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Our mission is to inspire and enable individuals to discover and develop their mathematical

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visit us at www.mathlearningcenter.org.

Bridges in Mathematics Grade 4 Supplement • A9.1© The Math Learning Center

NAME DATE

Set A9 Number & Operations: Adding & Subtracting Fractions Blackline Run a class set.

Set A9 H Independent Worksheet 1

INDEPENDENT WORKSHEET

Fractions through the School Day

Make a labeled sketch to solve each of the problems below. Use words to explain your answer, and write an equation to match. Use your fraction kit to help if you want.

Note: If the answer turns out to be an improper fraction, change it to a mixed number.

example Sam and Ali are friends. They’re both in Mrs. Hill’s fifth grade class. When Sam gets up on school days, it takes him 2

4 of an hour to take a shower and get dressed, 1

4 to eat breakfast, and 2 4 of an hour to finish his home-

work. How long does it take Sam to get ready for school?

a Labeled Sketch

14

14

14

14

24

14

shower and dress eat finish homework

24hr. hr.

b Explanation (in words):

2 fourths plus 1 fourth plus 2 more fourths is 5 fourths in all. There are 4 fourths in an hour, so it takes him 1 and 1

4 hours to get ready for school.

c Equation:

24 hour 1

4 + 2

4 + 5

4 = 5

4 = 1

4

1

(Continued on back.)

© The Math Learning CenterA9.2 • Bridges in Mathematics Grade 4 Supplement


1 Ali fixed eggs for her family this morning. She had 5 6 of a carton when she

started, and 2 6 of a carton left when she finished. What fraction of the carton did

Ali use?

a Labeled Sketch

b Explanation (in words): c Equation:

2 Sam and Ali’s class had P.E. first thing this morning P.E. lasts 4 8 of an hour.

They spent 1 8 of an hour running laps. What fraction of an hour did they have

left after that?

a Labeled Sketch


Independent Worksheet 1 Fractions through the Day (cont.)

(Continued on next page.)




3 Ali had 5 6 of a granola bar in her lunchbox. She ate 3

6 of the bar at recess. What fraction of the bar did she have left for lunch?

a Labeled Sketch


4 They had a math test after recess. Mrs. Hill said, “You have 8 12 of an hour to

complete the test.” After 6 12 of an hour, Sam only had 1 page left to go. How much

of an hour did he have left to finish the last page?

a Labeled Sketch






5 The 5th graders at Sam and Ali’s school take turns picking up trash on the playground after lunch each day. The chart below shows how many pounds of trash each class has picked up so far this week. How many pounds have they collected in all?

Fifth Grade Class Pounds of trash

Mrs. Hill’s Class 2 1 6 pounds

Mr. Wong’s Class 1 2 6 pounds

Mrs. Tejada’s Class 1 4 6 pounds

a Labeled Sketch


6 The 5th graders are painting a mural about recycling on one of the walls by the playground. So far, they’ve used 1 2

8 gallons of red paint, 2 5 8 gallons of yel-

low paint, and 2 3 8 gallon of green paint. How many gallons of paint have they

used in all?

a Labeled Sketch



NAME DATE




Fractions on the Trail

There is a 2-mile hiking trail behind Kennedy School. Make a labeled sketch to solve each of the problems below. Add more marks and fractions to the line if you need to. Use words to explain your answer, and write an equation to match.


example Marissa and her mom ran the first 1 1 4 miles of the trail. They got

tired, so they walked the rest of the way. How far did they walk?

a Labeled Sketch

mi.14

Ran 1

12Start mile 1 mile 2 miles

12 mile1

mi.14mi.1

4

mi.14

1 mi.14

Walked mi.34

b Explanation (in words):

They walked 3 4 of a mile because 2 – 1 leaves 1 mile,

and then they ran another 1 4 of a mile. That left

3 4 of mile to go.

c Equation

mile14 = 3

4 2 - 1




1 Tonio took his little brother for a walk on the trail. They walked 3 4 of a mile

Then they turned around and went back to the start. How many miles did they walk in all?

a Labeled Sketch


12 mile1


2 Troy and Eric decided to run the whole 2 miles. Eric twisted his ankle after they’d gone 1 1

8 of a mile. They decided to walk the rest of the way and call Er-ic’s dad to come get them. How many eighths of a mile did they have to walk to get to the end of the trail?

a Labeled Sketch


12 mile1


Independent Worksheet 2 Fractions on the Trail (cont.)




3 Kendra and her grandma walked 1 3 8 of a mile down the trail. Then they turned

around and walked back to the start. How many miles did they walk in all?

a Labeled Sketch


12 mile1


4 Carter was walking down the trail. When he got to the 3 4 mile marker, he

realized that his glasses had slipped out of his pocket. He turned around and started to go back. He found his glasses right beside the 2

4 mile marker. Then he turned around and walked to the end of the trail to meet his friend. How many miles did he walk in all?

a Labeled Sketch


12 mile1


Fractions Independent Worksheet 2 Fractions on the Trail (cont.)




5 Everyday, Mrs. Goodman starts at the beginning of the trail and walks 1 1

4 miles. Then she turns around and walks back to the start. How many miles does she walk in 1 week (7 days)?

a Labeled Sketch


12 mile1


CHALLENGE

6 Make up your own story problem about the hiking trail. Then give it to a classmate to solve. Be sure to check it first to make sure it works.

a My problem:

b Labeled Sketch

c Explanation (in words): d Equation:

Independent Worksheet 2 Fractions on the Trail (cont.)


NAME DATE




Adding & Subtracting Fractions

Use numbers, words, and labeled sketches to solve each of the problems below. Show all of your work. Use your fraction kit to help if you want.


Problem Explanation

example381

68+ 2 1

8= 41

1

1

1 8

1 8

1 8

1 8

1 8

1 8

1 8

1 8

1 8

3 8

6 8

9 8

3 + 1 = 4

+ =

1 8

18

3 8

1 + 2 = 3

makes 1 because there are in 1, and then you have left over.

9 8

1 8

1 8

8 8

6 8

1

2

1 56

36+ =




Problem Explanation

27 8

4 8

+ =

3342

34+ 3 =

4

781

58– =

Independent Worksheet 3 Adding & Subtracting Fractions (cont.)




Problem Explanation

556336+ 2

648328– 2

CHALLENGE

726456– 2

Independent Worksheet 3 Adding & Subtracting Fractions (cont.)

GRADE 4 SUPPLEMENT - Homesteadcommoncore2012.homestead.com/Grade_Level_Files/Fourth/...4 mile...

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